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What is the sum of digits of the least number, which when divided by 15, 18 and 24 leaves the remainder 8 in each case and is also divisible by 13?

A17

B16

C15

D18

Answer:

A. 17

Read Explanation:

15 = 3 × 5 18 = 2 × 3 × 3 24 = 2 × 2 × 2 × 3 LCM = 2 × 2 × 2 × 3 × 3 × 5 = 360 360 × 2 = 720 + 8 = 728 728 ÷ 13 = 56 Correct number is 728. Sum of these digits is 17.


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